Evaluate the integral without using tables. \int_{0}^{1}\frac{dx}{\sqrt{1-x^{2}}}

BenoguigoliB 2021-11-08 Answered
Evaluate the integral without using tables.
01dx1x2
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

yagombyeR
Answered 2021-11-09 Author has 92 answers
Step 1
Given,
I=01dx1x2
Step 2
Formula used:
dx1x2=sin1(x)+C
xndx=xn+1n+1+C
Step 3
Apply the above formula, we get
I=01dx1x2
=[sin1(x)]01
=sin1(1)sin1(0)
=sin1(sin(π2))sin1(sin(0))
=π20
=π2
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more